Calculus 2: Comparison tests

For series that resemble quotient forms, like $\frac{n}{n^3 + 1}$, determine convergence using the comparison or limit comparison test.

Attempt comparing series with non-standard terms using the limit comparison test.

Using the comparison test, determine if the series $\displaystyle \sum_{n=1}^{\infty} \frac{1}{2^n + 1}$ is convergent by comparing it to the series $\displaystyle \sum_{n=1}^{\infty} \frac{1}{2^n}$.

Determine whether the series $\displaystyle \sum_{n=1}^{\infty} \frac{5}{2n^2 + 4n + 3}$ is convergent using the comparison test.